Identify the following generating functions: 1. 0, 0, 0, 6, -6, 6, -6, ... 2. 1, 0, -1, 0, 1, 0, -1 ...
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The generating function for the sequence 0, 0, 0, 6, -6, 6, -6, .. can be found by considering the terms as coefficients of the powers of x. The sequence can be written as 0 + 0x + 0x^2 + 6x^3 - 6x^4 + 6x^5 - 6x^6 + ... The generating function is then given Show more…
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